3 papers
q-bio.MN2025
Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel Ãngel GarcÃa-Ariza, Alessandro Bravetti, Pablo Padilla +1
The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks…
math-ph2025
Asymmetric Relaxations Through the Lens of Information Geometry
Alessandro Bravetti, Miguel Ãngel GarcÃa Ariza, Pablo Padilla
We frame Newton's Law of Cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse-Carrot Theore…
math.AT2024
New divergence measures between persistence diagrams and stability of vectorizations
Alessandro Bravetti, MartÃn Mijangos, Pablo Padilla
Given a filtration of simplicial complexes, one usually applies persistent homology and summarizes the results in barcodes. Then, in order to extract statistical information from t…